Rate of convergence for minimum power assignment algorithms in cellular radio systems
Wireless Networks - Special issue transmitter power control
A utility-based power-control scheme in wireless cellular systems
IEEE/ACM Transactions on Networking (TON)
On utility-based radio resource management with and without service guarantees
MSWiM '04 Proceedings of the 7th ACM international symposium on Modeling, analysis and simulation of wireless and mobile systems
QoS-based resource allocation and transceiver optimization
Communications and Information Theory
Mechanism design and implementation theoretic perspective of interference coupled wireless systems
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
A unified framework for interference modeling for multi-user wireless networks
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
IEEE Communications Surveys & Tutorials
Noncollaborative Resource Management for Wireless Multimedia Applications Using Mechanism Design
IEEE Transactions on Multimedia
A framework for uplink power control in cellular radio systems
IEEE Journal on Selected Areas in Communications
Universal linear pricing for multiple access and broadcast channels under QoS requirements
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
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In interference coupled wireless systems, where it is not possible to "orthogonalize" all the users in the system, we characterize the impact of interference coupling on the convexity of certain utility functions and problems. We introduce a general class of competitive user utility functions and natural competitive user utility functions. We further introduce the signal-to-interference based utility functions, which are based on physical layer parameters in wireless systems. We prove the conditions, which when satisfied - result in a competitive user utility function being a signal-to-interference ratio based utility function. We further show that there exists no natural competitive user utility function, which is convex or concave. Furthermore, we show that a sum of weighted combination of natural competitive user utility functions is not convex or concave. Such functions are commonly encountered in wireless communication systems, e.g. rate or MMSE as a function of signal-to-interference ratio. We show that such rate maximization or MMSE minimization problems are not convex programs under our specified conditions.